2018
Mathematics
67ca00ce0c643c71d77dee1f
A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room.
A.
15/17
B.
9/17
C.
8/15
D.
12/17
Correct Answer: 15/17
Explanation
Given length of the room = 12m; breadth = 9m and height = 8m. The room is a cuboid in shape, therefore the length of the diagonal = √(l2+b2+h2) = √(122+92+82) =√(289) = 17m. The diagonal makes an angle with the diagonal of the floor: √122+92 = √(225) = 15m The cosine of the angle that the diagonal makes with the floor (θ) = 15/17.
Given length of the room = 12m; breadth = 9m and height = 8m. The room is a cuboid in shape, therefore the length of the diagonal = √(l2+b2+h2) = √(122+92+82) =√(289) = 17m. The diagonal makes an angle with the diagonal of the floor: √122+92 = √(225) = 15m The cosine of the angle that the diagonal makes with the floor (θ) = 15/17.THIS WEEK's
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